Time as a Geometric Concept Involving Angular Relations in Classical Mechanics and Quantum Mechanics

Foundations of Physics 40 (11):1744-1778 (2010)
  Copy   BIBTEX


The goal of this paper is to introduce the notion of a four-dimensional time in classical mechanics and in quantum mechanics as a natural concept related with the angular momentum. The four-dimensional time is a consequence of the geometrical relation in the particle in a given plane defined by the angular momentum. A quaternion is the mathematical entity that gives the correct direction to the four-dimensional time.Taking into account the four-dimensional time as a vectorial quaternionic idea, we develop a set of generalizations and conclusions over the mechanics.In quantum mechanics, the four-dimensional time appears as an observable



    Upload a copy of this work     Papers currently archived: 74,662

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Relativity Theory: What is Reality? [REVIEW]Diederik Aerts - 1996 - Foundations of Physics 26 (12):1627-1644.
Classical and Quantum Mechanics Via Supermetrics in Time.E. Gozzi - 2010 - Foundations of Physics 40 (7):795-806.
Time-Symmetric Quantum Mechanics.K. B. Wharton - 2007 - Foundations of Physics 37 (1):159-168.
Time and Related Problems.Andrzej Fuliński - 2008 - Dialogue and Universalism 18 (9-10):71-76.
Why Quantum Mechanics?P. T. Landsberg - 1988 - Foundations of Physics 18 (10):969-982.
A Geometric Approach to Quantum Mechanics.J. Anandan - 1991 - Foundations of Physics 21 (11):1265-1284.
Time's Arrow and Irreversibility in Time‐Asymmetric Quantum Mechanics.Mario Castagnino, Manuel Gadella & Olimpia Lombardi - 2005 - International Studies in the Philosophy of Science 19 (3):223 – 243.
Time in Quantum Mechanics.Jan Hilgevoord & David Atkinson - 2001 - In Craig Callender (ed.), The Oxford Handbook of Philosophy of Time. Oxford University Press.
The Direction of Time.Hans Reichenbach - 1956 - Dover Publications.


Added to PP

59 (#199,318)

6 months
5 (#144,775)

Historical graph of downloads
How can I increase my downloads?

References found in this work

No references found.

Add more references